72407067311213 has 2 divisors, whose sum is σ = 72407067311214. Its totient is φ = 72407067311212.

The previous prime is 72407067311143. The next prime is 72407067311311. The reversal of 72407067311213 is 31211376070427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49757815582084 + 22649251729129 = 7053922^2 + 4759123^2 .

It is a cyclic number.

It is not a de Polignac number, because 72407067311213 - 2²⁴ = 72407050533997 is a prime.

It is a super-2 number, since 2×72407067311213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72407067391213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36203533655606 + 36203533655607.

It is an arithmetic number, because the mean of its divisors is an integer number (36203533655607).

Almost surely, 2^{72407067311213} is an apocalyptic number.

It is an amenable number.

72407067311213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72407067311213 is an equidigital number, since it uses as much as digits as its factorization.

72407067311213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 72407067311213 in words is "seventy-two trillion, four hundred seven billion, sixty-seven million, three hundred eleven thousand, two hundred thirteen".